Atomic Units of X: The Compression Layer of Intelligence
May 2026 · Duggal, Vasileiadis & Pradyumna S R
The formal core of the programme.
Intelligence — human or artificial — operates via atomic units that function as compression layers, dynamically composed into novel configurations. The paper introduces the Compression Calculus, formalising representational efficiency across ten domains, and the Compounding Cascade — compression ratios of 10× to over 10,000× per domain that multiply across abstraction layers. It reframes LLMs as dynamic fusion engines over atomic units, and points to self-generating systems that discover new atoms through compression-driven library learning.
What we found: concept-level representation cut message length by 46.2% while preserving meaning · reconstruction fidelity passed 100% of the time, zero critical failures · atomic retrieval hit 100% Recall@5 against 91% for chunk retrieval, using 47.5% less retrieved context · and reliable composition of atoms remains unsolved (F1 0.13) — named openly as the next problem.
Special thanks to Benjamin Brey, Dr Sharon Jheeta and Priyanka Kocchar.